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Finding the Fourth Proportional to 6,469.82, 9,706.62 and 2,087.18

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Solution

The fourth proportional to 6,469.82, 9,706.62 and 2,087.18 is: 3,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.82 : 9,706.62 = 2,087.18 : x
  2. Step 2: Convert to fraction form
    6,469.82/9,706.62 = 2,087.18/x
  3. Step 3: Cross multiply
    6,469.82x = 9,706.62 × 2,087.18
  4. Step 4: Simplify right side
    6,469.82x = 20,259,463.13
  5. Step 5: Solve for x
    x = 20,259,463.13/6,469.82
  6. Step 6: Final answer
    x = 3,131.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.